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Finding the Fourth Proportional to 1,426.08, 1,967.46 and 866.36

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Solution

The fourth proportional to 1,426.08, 1,967.46 and 866.36 is: 1,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.08 : 1,967.46 = 866.36 : x
  2. Step 2: Convert to fraction form
    1,426.08/1,967.46 = 866.36/x
  3. Step 3: Cross multiply
    1,426.08x = 1,967.46 × 866.36
  4. Step 4: Simplify right side
    1,426.08x = 1,704,528.65
  5. Step 5: Solve for x
    x = 1,704,528.65/1,426.08
  6. Step 6: Final answer
    x = 1,195.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.